Algebra Homework

So I have a giant math test coming up, so I have to do a Chapter Review. Problem is, I'm really lost. So if anyone here could be a help with this that would be most wanted.

The topic is: Factoring ax^2+bx+c
I have to make a table to find the solution with the following columns: Factors of A, Factors of C, Possible Factorization, and Middle Term when Multiplied. I can do the first three columns right, but I don't know the connection between the Possible Factorization and Middle Term when Multiplied columns. If anyone knows it would be a great help if you could explain.

P. S. I have a test Monday on this, so it's kind of important.

"Everyone wants happiness, no one wants pain. But you can't have a rainbow without a little rain."

"Sometimes people not to block others out of their life but to see who cares enough to break the wall."

"If you test a fish on its ability to climb a tree, it will live its life believing that it is stupid."